Finding the Third Proportional to 34,506 and 53,406

Step by Step Solution

1. Step 1: Write the proportion equation
   34,506 : 53,406 = 53,406 : x
2. Step 2: Convert to fraction form
   34,506/53,406 = 53,406/x
3. Step 3: Cross multiply
   34,506x = 53,406 × 53,406
4. Step 4: Simplify right side
   34,506x = 2,852,200,836
5. Step 5: Solve for x
   x = 2,852,200,836/34,506
6. Step 6: Final answer
   x = 82,658.11